Evaluate 10^-8

Problem

10(−8)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an) for any non-zero base a

2. Apply the rule to the expression by moving the base to the denominator and changing the sign of the exponent.

10(−8)=1/10

3. Calculate the value of the denominator by writing 1 followed by 8 zeros.

10=100,000,000

4. Convert the fraction to decimal form by placing the digit 1 in the eighth decimal place.

1/(100,000,000)=0.00000001

Final Answer

10(−8)=0.00000001

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